math.cos on complex, real part

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.6s (27.9%)

Memory
113.6MiB live, 2 365.3MiB allocated; 762ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 893.0ms
ival-cos: 403.0ms (45.1% of total)
ival-exp: 185.0ms (20.7% of total)
ival-mult: 162.0ms (18.1% of total)
ival-add: 68.0ms (7.6% of total)
ival-neg: 58.0ms (6.5% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain135.0ms (2.4%)

Memory
-2.9MiB live, 249.9MiB allocated; 53ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 im)
00-0-(neg.f64 im)
00-0-(exp.f64 (neg.f64 im))
00-0-(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-(cos.f64 re)
00-0-im
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-re
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
48.0ms512×0valid
Compiler

Compiled 81 to 34 computations (58% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-cos: 11.0ms (34.4% of total)
ival-mult: 8.0ms (25% of total)
ival-exp: 7.0ms (21.9% of total)
ival-add: 3.0ms (9.4% of total)
ival-neg: 2.0ms (6.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess262.0ms (4.6%)

Memory
-21.9MiB live, 306.5MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02557
111055
231855
3121533
4736533
01011
01711
14411
212711
353411
426385
083865
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cosh.f64 im) (cos.f64 re))
Symmetry

(abs im)

(abs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

series9.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
10 → 40
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 1))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 1))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
im
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))

simplify136.0ms (2.4%)

Memory
-8.8MiB live, 221.9MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161643
1497611
21947602
37615602
08090564
Stop Event
iter limit
node limit
Counts
40 → 40
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 1))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 1))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re #s(hole binary64 re))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (exp (neg im)) #s(hole binary64 1))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx (neg im) (neg.f64 im))
#s(approx im #s(hole binary64 im))
#s(approx im im)
#s(approx (exp im) #s(hole binary64 1))
#s(approx (exp im) #s(literal 1 binary64))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

rewrite852.0ms (15.1%)

Memory
-92.7MiB live, 212.0MiB allocated; 995ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
01733
15729
240827
0519027
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
10 → 388
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (exp.f64 im)))
(fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (exp.f64 im)))
(fma.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (fma.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (fma.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (-.f64 (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (fma.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 re))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (*.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (exp.f64 im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (exp.f64 im)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
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#s(literal 1/2 binary64)
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(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
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(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
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(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
re
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(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
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(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(fma.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 im)) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 im)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (-.f64 (fma.f64 #s(literal -1 binary64) im im) im))
(exp.f64 (fma.f64 #s(literal -1 binary64) im (fma.f64 #s(literal -1 binary64) im im)))
(exp.f64 (fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64)))
(exp.f64 (+.f64 (fma.f64 #s(literal -1 binary64) im im) (neg.f64 im)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 im)))
(exp.f64 (*.f64 im #s(literal -1 binary64)))
(exp.f64 (neg.f64 im))
(+.f64 (*.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) (*.f64 (cosh.f64 im) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 im)) (/.f64 (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 im)))
(+.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 #s(literal 0 binary64) im)
(log.f64 (exp.f64 (neg.f64 im)))
im
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (exp.f64 im) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (-.f64 (sinh.f64 im) (cosh.f64 im)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) #s(literal 4 binary64))
(/.f64 (*.f64 (exp.f64 im) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (*.f64 (exp.f64 im) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 im) (cosh.f64 im)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 im))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (sinh.f64 im) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 im))
(fma.f64 (sinh.f64 im) #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 (sinh.f64 im) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(exp.f64 (+.f64 (fma.f64 #s(literal -1 binary64) im im) im))
(exp.f64 (+.f64 #s(literal 0 binary64) im))
(exp.f64 im)
(+.f64 (*.f64 (sinh.f64 im) #s(literal 1 binary64)) (*.f64 (cosh.f64 im) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 im) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 im)) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (*.f64 #s(literal 1 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval63.0ms (1.1%)

Memory
-15.8MiB live, 74.1MiB allocated; 15ms collecting garbage
Compiler

Compiled 10 078 to 1 370 computations (86.4% saved)

prune7.0ms (0.1%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4243427
Fresh000
Picked101
Done000
Total4253428
Accuracy
100.0%
Counts
428 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
77.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
52.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
Compiler

Compiled 37 to 32 computations (13.5% saved)

series15.0ms (0.3%)

Memory
-26.5MiB live, 30.0MiB allocated; 7ms collecting garbage
Counts
14 → 51
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(cos.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
re
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im))
3.0ms
re
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im))
2.0ms
im
@inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im))
2.0ms
im
@-inf
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im))
1.0ms
re
@0
((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im))

simplify187.0ms (3.3%)

Memory
23.9MiB live, 251.5MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0190993
1605931
22322747
08486687
Stop Event
iter limit
node limit
Counts
51 → 51
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (cosh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re #s(hole binary64 re))
#s(approx re re)
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (cosh.f64 im)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (cosh.f64 im) (cos.f64 re)))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (cosh.f64 im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (cos.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx im #s(hole binary64 im))
#s(approx im im)
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (cos.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1 (cosh im)) (cosh.f64 im))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1 (cosh im)) (cosh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (cosh.f64 im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))

rewrite51.0ms (0.9%)

Memory
-19.2MiB live, 70.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02169
02965
19959
065859
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 82
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(cos.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 im im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 im im)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 im im) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 im im) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 im im)) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 1 binary64)) im #s(literal 2 binary64))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 im) (fabs.f64 im) #s(literal 2 binary64))
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 im im #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 im)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 im)) (neg.f64 im)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 im) im))
(-.f64 #s(literal 2 binary64) (*.f64 im (neg.f64 im)))
(+.f64 (fma.f64 im im #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 im im)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 im im)) (pow.f64 im #s(literal 4 binary64)))))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im im)))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) (cosh.f64 im))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(*.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (cos.f64 re)))
(*.f64 (cos.f64 re) (cosh.f64 im))
(/.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))

eval20.0ms (0.3%)

Memory
-8.4MiB live, 47.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 303 to 374 computations (83.8% saved)

prune10.0ms (0.2%)

Memory
30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New12013133
Fresh000
Picked123
Done000
Total12115136
Accuracy
100.0%
Counts
136 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
77.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
55.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
100.0%
(*.f64 (cosh.f64 im) (cos.f64 re))
93.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
89.8%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
54.0%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
53.4%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
51.1%
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
67.1%
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
52.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
40.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
37.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
34.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
31.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
Compiler

Compiled 566 to 419 computations (26% saved)

series24.0ms (0.4%)

Memory
-18.6MiB live, 28.0MiB allocated; 4ms collecting garbage
Counts
29 → 85
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
im
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 re re)
#s(literal -1/2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
Outputs
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (- (* 1/48 (pow re 2)) 1/4)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* 1/48 (pow re 4))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (* 1/48 (pow re 2))))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
re
@-inf
((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) 1/24 (* re re) -1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) 1/48 -1/4 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (cos re) (+ (* -1/2 (* re re)) 1))
3.0ms
re
@inf
((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) 1/24 (* re re) -1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) 1/48 -1/4 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (cos re) (+ (* -1/2 (* re re)) 1))
2.0ms
im
@inf
((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) 1/24 (* re re) -1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) 1/48 -1/4 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (cos re) (+ (* -1/2 (* re re)) 1))
2.0ms
im
@-inf
((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) 1/24 (* re re) -1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) 1/48 -1/4 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (cos re) (+ (* -1/2 (* re re)) 1))
2.0ms
re
@0
((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) 1/24 (* re re) -1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) 1/48 -1/4 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (cos re) (+ (* -1/2 (* re re)) 1))

simplify179.0ms (3.2%)

Memory
-10.2MiB live, 226.9MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02591633
17291540
228861521
086221405
Stop Event
iter limit
node limit
Counts
85 → 85
Calls
Call 1
Inputs
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (- (* 1/48 (pow re 2)) 1/4)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* 1/48 (pow re 4))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (* 1/48 (pow re 2))))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
Outputs
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re #s(hole binary64 re))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* 1/24 (* re re)) -1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (- (* 1/48 (pow re 2)) 1/4)))
#s(approx (+ (* 1/48 (* re re)) -1/4) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* -1/2 (* re re)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re)))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) re) re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* 1/48 (pow re 4))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64)))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (* 1/48 (pow re 2))))
#s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re)))
#s(approx (+ (* 1/48 (* re re)) -1/4) #s(hole binary64 (* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re))) re) re))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im #s(hole binary64 im))
#s(approx im im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1 (cosh im)) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (* im im) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal -1 binary64)) im) im))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1 (cosh im)) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))

rewrite87.0ms (1.6%)

Memory
23.9MiB live, 123.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036207
056203
1212195
01585195
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
29 → 224
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
im
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 re re)
#s(literal -1/2 binary64)
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (cosh.f64 im)))
(*.f64 (cos.f64 re) (cosh.f64 im))
(*.f64 (*.f64 (cos.f64 re) (cosh.f64 im)) #s(literal 1 binary64))
(*.f64 (cosh.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 (cosh.f64 im) (cos.f64 re))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
im
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fabs.f64 re)) (fabs.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (neg.f64 re)) (neg.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) (*.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64))
(fma.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re)) re))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/48 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/48 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 re)) (neg.f64 re) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
(fma.f64 re (*.f64 #s(literal 1/24 binary64) re) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) re)) re))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal 1/24 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 re re)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/48 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re re) #s(literal -1/48 binary64)))))
(+.f64 (*.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
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(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) re)) re))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))

eval54.0ms (1%)

Memory
-9.3MiB live, 126.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 10 411 to 1 375 computations (86.8% saved)

prune38.0ms (0.7%)

Memory
-9.4MiB live, 45.2MiB allocated; 13ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New37810388
Fresh358
Picked325
Done022
Total38419403
Accuracy
100.0%
Counts
403 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.7%
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
60.5%
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
77.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
100.0%
(*.f64 (cosh.f64 im) (cos.f64 re))
93.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
89.8%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
55.2%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
26.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
53.4%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
51.1%
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
67.1%
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
52.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
40.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
37.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
37.2%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
34.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
37.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
37.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
31.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
Compiler

Compiled 869 to 621 computations (28.5% saved)

series24.0ms (0.4%)

Memory
1.5MiB live, 45.7MiB allocated; 10ms collecting garbage
Counts
37 → 118
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re))
(neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
Outputs
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* 1/24 re) #s(hole binary64 (* 1/24 re)))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 1))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2))))))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 1/2))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow re 2)))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* -1/24 (pow re 4))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* (pow re 4) (- (* 1/2 (/ 1 (pow re 2))) 1/24))))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 (* -1/24 (pow re 2))))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/24))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 1))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/720 (pow im 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* 1/720 (pow im 4))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 (* 1/720 (pow im 2))))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
im
@-inf
((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* im im) im 1/24 1/2 1 (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) (+ (* (* 1/24 re) re) -1/2) (* 1/24 re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) (neg (+ (* (* re re) 1/24) -1/2)) (+ (* (* re re) 1/24) -1/2) (* (* 1 (* 1 (cosh im))) (cos re)) (* 1 (* 1 (cosh im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (cos re) (+ (* -1/2 (* re re)) 1))
3.0ms
im
@inf
((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* im im) im 1/24 1/2 1 (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) (+ (* (* 1/24 re) re) -1/2) (* 1/24 re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) (neg (+ (* (* re re) 1/24) -1/2)) (+ (* (* re re) 1/24) -1/2) (* (* 1 (* 1 (cosh im))) (cos re)) (* 1 (* 1 (cosh im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (cos re) (+ (* -1/2 (* re re)) 1))
3.0ms
re
@-inf
((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* im im) im 1/24 1/2 1 (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) (+ (* (* 1/24 re) re) -1/2) (* 1/24 re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) (neg (+ (* (* re re) 1/24) -1/2)) (+ (* (* re re) 1/24) -1/2) (* (* 1 (* 1 (cosh im))) (cos re)) (* 1 (* 1 (cosh im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (cos re) (+ (* -1/2 (* re re)) 1))
3.0ms
re
@inf
((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* im im) im 1/24 1/2 1 (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) (+ (* (* 1/24 re) re) -1/2) (* 1/24 re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) (neg (+ (* (* re re) 1/24) -1/2)) (+ (* (* re re) 1/24) -1/2) (* (* 1 (* 1 (cosh im))) (cos re)) (* 1 (* 1 (cosh im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (cos re) (+ (* -1/2 (* re re)) 1))
2.0ms
re
@0
((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* im im) im 1/24 1/2 1 (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (+ (* 1/24 (* re re)) -1/2) -1/2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) (+ (* (* 1/24 re) re) -1/2) (* 1/24 re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) (neg (+ (* (* re re) 1/24) -1/2)) (+ (* (* re re) 1/24) -1/2) (* (* 1 (* 1 (cosh im))) (cos re)) (* 1 (* 1 (cosh im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (cos re) (+ (* -1/2 (* re re)) 1))

simplify180.0ms (3.2%)

Memory
18.7MiB live, 246.8MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03082424
18242323
229182308
089942109
Stop Event
iter limit
node limit
Counts
118 → 118
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* 1/24 re) #s(hole binary64 (* 1/24 re)))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 1))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2))))))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 1/2))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow re 2)))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* -1/24 (pow re 4))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* (pow re 4) (- (* 1/2 (/ 1 (pow re 2))) 1/24))))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 (* -1/24 (pow re 2))))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/24))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 1))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/720 (pow im 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* 1/720 (pow im 4))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 (* 1/720 (pow im 2))))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
Outputs
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re #s(hole binary64 re))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* (* 1/24 re) re) -1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* re re) (*.f64 re re))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* (* 1/24 re) re) -1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
#s(approx (* 1/24 re) #s(hole binary64 (* 1/24 re)))
#s(approx (* 1/24 re) (*.f64 #s(literal 1/24 binary64) re))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re))) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2))))))
#s(approx (* (neg (+ (* (* re re) 1/24) -1/2)) (* re re)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) re))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 1/2))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(literal 1/2 binary64))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow re 2)))))
#s(approx (neg (+ (* (* re re) 1/24) -1/2)) (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* 1/24 re) re) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (+ (* (* 1/24 re) re) -1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (fma.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* -1/2 (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 1 (cosh im)) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) re) re))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* 1/24 re) re) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* 1/24 (* re re)) -1/2) (* re re)) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64))))
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#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (cos re)))
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#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re)))
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#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) (fma.f64 (*.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1 (* 1 (cosh im))) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
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#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 1))
#s(approx (* 1 (* 1 (cosh im))) #s(literal 1 binary64))
#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (* 1 (cosh im))) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
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#s(approx (* 1 (* 1 (cosh im))) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* 1 (* 1 (cosh im))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
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#s(approx (+ (* (* im im) 1/24) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal -1/24 binary64)) im) im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))

rewrite115.0ms (2%)

Memory
3.3MiB live, 153.9MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049397
080373
1335367
02332365
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
37 → 382
Calls
Call 1
Inputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
#s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re))
(neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
Outputs
(*.f64 (cos.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (fabs.f64 im)) (fabs.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (neg.f64 im)) (neg.f64 im) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) (*.f64 im #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 (*.f64 im im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 im (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)) im))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) (*.f64 im #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fabs.f64 im)) (fabs.f64 im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (neg.f64 im)) (neg.f64 im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im)) im))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 im im)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)))))
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(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 im im)) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 im) (*.f64 #s(literal 1/24 binary64) im)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal 1/48 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal 1/48 binary64)))))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) re)) re))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 re re)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))

eval83.0ms (1.5%)

Memory
27.6MiB live, 119.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 18 605 to 2 407 computations (87.1% saved)

prune70.0ms (1.3%)

Memory
-32.2MiB live, 64.3MiB allocated; 14ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New5729581
Fresh4610
Picked235
Done044
Total57822600
Accuracy
100.0%
Counts
600 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
59.4%
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
77.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
100.0%
(*.f64 (cosh.f64 im) (cos.f64 re))
89.8%
(*.f64 #s(approx (* 1 (* 1 (cosh im))) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
93.6%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
61.9%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
62.7%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
62.0%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
60.5%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
55.2%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
26.8%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
53.4%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
51.1%
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
67.1%
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
52.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
40.0%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
37.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
37.2%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
34.1%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
37.7%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
31.3%
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
Compiler

Compiled 1 454 to 568 computations (60.9% saved)

regimes58.0ms (1%)

Memory
22.2MiB live, 66.9MiB allocated; 5ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
(*.f64 #s(approx (* 1 (* 1 (cosh im))) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
Calls

6 calls:

13.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms
re
10.0ms
im
9.0ms
(cos.f64 re)
8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
100.0%1(cos.f64 re)
100.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
100.0%1re
100.0%1im
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes58.0ms (1%)

Memory
17.8MiB live, 63.3MiB allocated; 3ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
(*.f64 #s(approx (* 1 (* 1 (cosh im))) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
Calls

6 calls:

18.0ms
re
9.0ms
im
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(cos.f64 re)
7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
93.6%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
97.3%2(cos.f64 re)
97.3%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
98.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
97.3%2re
98.6%3im
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes19.0ms (0.3%)

Memory
-34.0MiB live, 18.5MiB allocated; 7ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
(*.f64 #s(approx (* 1 (* 1 (cosh im))) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
Calls

1 calls:

7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes8.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
Calls

1 calls:

7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.7%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes53.0ms (0.9%)

Memory
-31.2MiB live, 13.6MiB allocated; 5ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.4%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes8.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.3%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes45.0ms (0.8%)

Memory
33.5MiB live, 76.6MiB allocated; 5ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Calls

6 calls:

10.0ms
re
7.0ms
im
7.0ms
(cos.f64 re)
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
84.6%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
84.6%2im
73.8%2re
75.8%2(cos.f64 re)
75.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
95.6%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes39.0ms (0.7%)

Memory
-23.3MiB live, 77.8MiB allocated; 11ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Calls

5 calls:

10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms
im
6.0ms
(cos.f64 re)
5.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
74.1%2(cos.f64 re)
74.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
64.3%2im
62.7%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
75.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 24 to 26 computations (-8.3% saved)

regimes22.0ms (0.4%)

Memory
-6.9MiB live, 38.6MiB allocated; 5ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
Calls

3 calls:

9.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms
(cos.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
74.1%2(cos.f64 re)
74.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
74.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes25.0ms (0.4%)

Memory
6.9MiB live, 53.4MiB allocated; 3ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
Calls

4 calls:

7.0ms
(cos.f64 re)
6.0ms
re
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.5%4re
73.7%2(cos.f64 re)
73.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
73.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 18 to 20 computations (-11.1% saved)

regimes15.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
Calls

3 calls:

5.0ms
(cos.f64 re)
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
71.1%2(cos.f64 re)
71.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
71.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes28.0ms (0.5%)

Memory
-32.6MiB live, 14.0MiB allocated; 2ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
Calls

3 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
70.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
70.2%2(cos.f64 re)
70.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes13.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64))))
Calls

3 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(cos.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
69.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
69.3%2(cos.f64 re)
69.3%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes40.0ms (0.7%)

Memory
-17.4MiB live, 35.1MiB allocated; 27ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
Calls

6 calls:

19.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
4.0ms
im
4.0ms
re
4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
55.6%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
57.5%3im
58.2%3re
63.6%3(cos.f64 re)
63.6%3(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
65.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes12.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 re re)))))
Outputs
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

3 calls:

4.0ms
(cos.f64 re)
4.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
61.0%2(cos.f64 re)
61.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
61.0%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes16.0ms (0.3%)

Memory
-14.9MiB live, 29.9MiB allocated; 7ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* (* 1/24 re) re) -1/2) (*.f64 (*.f64 re re) #s(literal 1/24 binary64))) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

4 calls:

7.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms
re
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
55.7%3re
56.1%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
56.1%2(cos.f64 re)
56.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Compiler

Compiled 18 to 20 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (+ (* 1/24 (* re re)) -1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
Calls

6 calls:

2.0ms
im
1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
34.1%1re
34.1%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
34.1%1im
36.2%2(cos.f64 re)
36.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
36.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
Calls

6 calls:

1.0ms
im
1.0ms
re
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
31.3%1re
31.3%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
31.3%1im
31.3%1(cos.f64 re)
31.3%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
31.3%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999793
1.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999793
1.0
0.0ms
-inf
-0.9986182186335003
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999793
1.0
0.0ms
-inf
-0.9986182186335003
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999793
1.0
0.0ms
-inf
-0.9986182186335003
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999793
1.0
0.0ms
-inf
-0.9986182186335003
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999988762254048
0.999999777401822
0.0ms
-inf
-0.9986182186335003
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999988762254048
0.999999777401822
0.0ms
-0.03768669056572501
0.09473577828481633
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03768669056572501
0.09473577828481633
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03768669056572501
0.09473577828481633
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.008931286715281362
0.047367889142408165
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.008931286715281362
0.047367889142408165
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.008931286715281362
0.047367889142408165
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch10.0ms (0.2%)

Memory
-45.9MiB live, 1.1MiB allocated; 2ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000953326355049
+inf
0.0ms
-0.03768669056572501
0.09473577828481633
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.008931286715281362
0.047367889142408165
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.008931286715281362
0.047367889142408165
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03768669056572501
0.09473577828481633
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify78.0ms (1.4%)

Memory
4.0MiB live, 50.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241130
11771130
23371130
311221130
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007190247541737/9007199254740992 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 9007190247541737/9007199254740992 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))
Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599627370403/4503599627370496 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re)) #s(approx (* (* 1 (cosh im)) (cos re)) (cosh.f64 im))))
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(if (<=.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) (*.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(literal 1 binary64)))

derivations782.0ms (13.9%)

Memory
21.0MiB live, 729.3MiB allocated; 127ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 174 to 126 computations (89.3% saved)

preprocess107.0ms (1.9%)

Memory
30.9MiB live, 177.4MiB allocated; 18ms collecting garbage
Remove

(abs re)

(abs im)

Compiler

Compiled 2 390 to 292 computations (87.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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